Linear natural operators lifting p-vectors to tensors of type (q, 0) on Weil bundles

Title:

Linear natural operators lifting p-vectors to tensors of type (q, 0) on Weil bundles

Creator:

Dębecki, Jacek

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:bba18af0-b7e9-4c6f-8416-de5ce016256e
uuid:bba18af0-b7e9-4c6f-8416-de5ce016256e
issn:0011-4642

Subject:

matematika, lineární operátory, mathematics, linear operators, natural operator, Weil bundle, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We give a classification of all linear natural operators transforming p-vectors (i.e., skew-symmetric tensor fields of type (p, 0)) on n-dimensional manifolds M to tensor fields of type (q, 0) on TAM, where TA is a Weil bundle, under the condition that p ≥ 1, n ≥ p and n ≥ q. The main result of the paper states that, roughly speaking, each linear natural operator lifting p-vectors to tensor fields of type (q, 0) on TA is a sum of operators obtained by permuting the indices of the tensor products of linear natural operators lifting p-vectors to tensor fields of type (p, 0) on TA and canonical tensor fields of type (q − p, 0) on TA., Jacek Dębecki., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

511-525

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false